Search a number
-
+
222200011211100 = 223521356974361849
BaseRepresentation
bin110010100001011011111000…
…101111001100000101011100
31002010202010001211022200102120
4302201123320233030011130
5213111011110332223400
62104325135335022540
764542264263154066
oct6241337057140534
91063663054280376
10222200011211100
116488854a64a43a
1220b07a2620aa50
1396ca4a9550020
143cc27760d0736
151aa4deb33dca0
hexca16f8bcc15c

222200011211100 has 72 divisors (see below), whose sum is σ = 692352445201200. Its totient is φ = 54695387374080.

The previous prime is 222200011211069. The next prime is 222200011211131. The reversal of 222200011211100 is 1112110002222.

222200011211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222200011211069) and next prime (222200011211131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222200011211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28487177025 + ... + 28487184824.

It is an arithmetic number, because the mean of its divisors is an integer number (9616006183350).

Almost surely, 2222200011211100 is an apocalyptic number.

222200011211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222200011211100 is an abundant number, since it is smaller than the sum of its proper divisors (470152433990100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222200011211100 is a wasteful number, since it uses less digits than its factorization.

222200011211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56974361879 (or 56974361872 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222200011211100 its reverse (1112110002222), we get a palindrome (223312121213322).

The spelling of 222200011211100 in words is "two hundred twenty-two trillion, two hundred billion, eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 56974361849 113948723698 170923085547 227897447396 284871809245 341846171094 569743618490 683692342188 740666704037 854615427735 1139487236980 1424359046225 1481333408074 1709230855470 2222000112111 2848718092450 2962666816148 3418461710940 3703333520185 4273077138675 4444000224222 5697436184900 7406667040370 8546154277350 8888000448444 11110000560555 14813334080740 17092308554700 18516667600925 22220001121110 37033335201850 44440002242220 55550002802775 74066670403700 111100005605550 222200011211100